Answer:
3.88 : 3.25 ≈ 13 : 11
Step-by-step explanation:
I don't know what are you in, geometry or algebra? I'll post my way of solution. It may need some calculator calculation that I can't give detail of steps here. I just like to explore something, wish it help.
suppose D is the origin, DA = 4 and AB = 5
A (0,4) B(5,4) C(5,0) D(0,0)
AE/AC = 3/4 (i.e. AE/EC = 3/1)
parallel of EF with DC and EG with BC
CF/BC = CE/AC = 1/4
CF = BC x 1/4 = 4 x 1/4 = 1
DG/DC = AE/AC = 3/4
DG = DC x 1/4 = 5 x 3/4 = 15/4
coordinator of E (3.75 , 1)
length of DE = √3.75² + 1² = 3.88
length of BE = √1.25² + 3² = 3.25
DE : BE = 3.88 : 3.25 ≈ 13: 11 (3.88/13 ≈ 0.29, 3.25/11 ≈ 0.29)
